Question

The mean of 1, 7, 5, 3, 4 and 4 is m. The numbers 3, 2, 4, 2, 3, 3 and p have mean m – 1 and median q. Find p and q.

Answer 1

Mean of 1, 7, 5, 3, 4 and 4 = `24/6` = 4 

`=>` m = 4  

Now, mean of 3, 2, 4, 2, 3, 3 and p = m – 1 = 4 – 1 = 3 

Therefore, 17 + p = 3 × n ...... Where n = 7 

17 + p = 21

p = 4 

Arranging in ascending order: 

2, 2, 3, 3, 3, 3, 4, 4 

Mean = 4^th term = 3 

Therefore, q = 3